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Solving 2 Step Equations

Solving 2 Step Equations. Solving 2 Step Equations. When you do something. to one side of an equation,. Solving 2 Step Equations. you have to do exactly. the same thing. to the other side. Solving 2 Step Equations.

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Solving 2 Step Equations

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  1. Solving 2 Step Equations

  2. Solving 2 Step Equations When you do something to one side of an equation,

  3. Solving 2 Step Equations you have to do exactly the same thing to the other side.

  4. Solving 2 Step Equations 1) Undo the addition or subtraction operation first, by using inverse operations. 2) Undo the multiplication or divisionoperationsecond, by using inverse operations.

  5. Solving 2 Step Equations Remember The Party?

  6. Solving 2 Step Equations Who’s the friend and who’s the boyfriend or girlfriend? 3x + 4 = 16 4 is the friend 3 is the boyfriend or girlfriend Undo add 4 by subtracting 4 Undo multiply 3 by dividing by 3

  7. Solving 2 Step Equations REMEMBER TO CROSS THINGS OUT SO YOU KNOW YOU ARE DOING IT RIGHT 3x + 4 = 16 -4 -4 3x = 12 3 3 x = 4

  8. Things to Remember 1)GOAL: Get the variable alone on one side of the equation. 2) You always perform the same operation to both sides of an equation. 3) To undo an operation you perform its opposite operation to both sides of the equation. 4) Undo addition or subtraction before you undo multiplication or division.

  9. Solving 2 Step Equations Get the variable alone. - 4 - 4 Subtract 4 from both sides. 2x + 4 = 10 2x = 6 __ __ 2 2 +4 and -4 cancel out Divide both sides by 2 x = 3 2 divided by 2 cancel to 1

  10. Write the steps + 10 +10 3m - 10 = 17 3m = 27 __ __ 3 3 m = 9

  11. Solving 2 Step Equations x 3 Get the variable alone. +4 +4 Add 4 to both sides. – 4 = 8 x 3 = 12 + 4 and -4 cancel out. x 3 Multiply both sides by 3. 3 ( ) = 3 12 3 divided by 3 cancel to 1 x = 36

  12. Write the steps x 2 - 6 - 6 + 6 = 14 x 2 = 8 x 2 2 ( ) = 2 8 x = 16 16 2 + 6 = 14 8 + 6 = 14 14 = 14

  13. Solving 2 Step Equations What Operation Do You Do? FIRSTSECOND 1) 3x + 8 = 24 Divide by 3 Subtract 8 2) 5x - 10 = 19 Divide by 5 Add 10 3) x - 4 = 20 2 Add 4 Multiply by 2 4) - 30 = -5x + 5 Divide by -5 Subtract 5

  14. Solving 2 Step Equations

  15. Textbook: Page 123 Examples 8 - 19

  16. Solving 2 Step Equations

  17. Solving 2 Step Equations Think about what you need to do to isolate the variable. Get rid of addition or subtraction first. Second get rid of multiplication or division.

  18. Solving 2 Step Equations The End! Take out your study guide!

  19. #11 Solve 2 Step Equations 1) Undo the addition or subtraction operation first, by using inverse operations. 2) Undo the multiplication or division second, by using inverse operations.

  20. #12 2 Step Subtract/Multiply Equation Get the variable alone. +10 +10 Add 10 to both sides. • 3m - 10 = 17 __ __ 3 3 3m = 27 +10 and -10 cancel out Divide both sides by 3 m = 9 3 divided by 3 cancel to 1 3(9) – 10 =17 Show your check. 27 – 10 =17 Finish your check. 17 =17

  21. #13 2 Step ADD/DIVIDE Equation x 2 Get the variable alone. - 6 - 6 Subtract 6 from both sides. + 6 = 14 x 2 = 8 + 6 and -6 cancel out. x 2 Multiply both sides by 2. ( ) = 8 2 2 2 divided by 2 cancels out x = 16 16 2 Show your check. + 6 = 14 8 + 6 = 14 Finish your check. 14 = 14

  22. TEACHER NOTE: Use the following slides the next day when correcting homework.

  23. HOMEWORK EXPLANATION

  24. An Equation is like a balance scale. Everything must be equal on both sides. = 20 2x +5

  25. What you do to one side of an equation, you must do to the other side to keep it balanced! = 20 2x +5 -5 -5

  26. What you do to one side of an equation, you must do to the other side to keep it balanced! = 15 2x __ 2 __ 2

  27. What you do to one side of an equation, you must do to the other side to keep it balanced! = 7.5 x

  28. Try to solve this subtraction equation How do you get n all by itself? = 18 n - 3 +3 +3

  29. Try to solve this subtraction equation How do you get n all by itself? = 21 n

  30. Show your check by substituting your answer back into the original equation. = 18 21 n - 3

  31. Try to solve this division equation How do you get x all by itself? x 3 = •3 •3 15

  32. Try to solve this division equation How do you get x all by itself? x = 45

  33. SHOW YOUR CHECK! 45 x 3 = 15

  34. If you have trouble viewing you need MathType software: To see all math formulas correctly you need to install MathType software, similar to equation editor and is available for free at Design Science website.

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